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dc.contributor.authorVillardi de Montlaur, Adeline de
dc.contributor.authorFernández Méndez, Sonia
dc.contributor.authorHuerta, Antonio
dc.contributor.otherEscola d'Enginyeria de Telecomunicació i Aeroespacial de Castelldefels
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.identifier.citationMontlaur, A.; Fernandez, S.; Huerta, A. High-order implicit time integration for unsteady incompressible flows. "International journal for numerical methods in fluids", 30 Novembre 2011.
dc.description.abstractThe spatial discretization of unsteady incompressible Navier–Stokes equations is stated as a system of differential algebraic equations, corresponding to the conservation of momentum equation plus the constraint due to the incompressibility condition. Asymptotic stability of Runge–Kutta and Rosenbrock methods applied to the solution of the resulting index-2 differential algebraic equations system is analyzed. A critical comparison of Rosenbrock, semi-implicit, and fully implicit Runge–Kutta methods is performed in terms of order of convergence and stability. Numerical examples, considering a discontinuous Galerkin formulation with piecewise solenoidal approximation, demonstrate the applicability of the approaches and compare their performance with classical methods for incompressible flows.
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica
dc.subject.lcshGalerkin methods
dc.subject.lcshNavier-Stokes equations
dc.subject.otherDifferential algebraic equations
dc.subject.otherIncompressible Navier–Stokes
dc.subject.otherHigh-order time integrators
dc.subject.otherDiscontinuous Galerkin
dc.titleHigh-order implicit time integration for unsteady incompressible flows
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
dc.description.versionPostprint (published version)
upcommons.citation.authorMontlaur, A.; Fernandez, S.; Huerta, A.
upcommons.citation.publicationNameInternational journal for numerical methods in fluids

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